Compare 40/35 and 45/10
1st number: 1 5/35, 2nd number: 4 5/10
40/35 is smaller than 45/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 10 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 35 × 2 = 70,
40/35 = 40 × 2/35 × 2 = 80/70 - Likewise, for the 2nd fraction, since 10 × 7 = 70,
45/10 = 45 × 7/10 × 7 = 315/70 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/70 < 315/70 or 40/35 < 45/10
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